The efficiencies of A, B and C are in the ratio 2 : 5 : 3. Working together, they can complete task in 9 days. In how many days will C alone complete 40% of that task?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 12
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Concept |
Understanding |
Application |
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Work efficiency Total work = Efficiency × Time
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Ratio of efficiencies of A, B and C = 2 : 5 : 3 Suppose the efficiencies are 2x, 5x and 3x
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Working together, they can complete task in 9 days: Total work = (2x + 5x + 3x) × 9 = 10x × 9 = 90x 40% of the total work = 90 × 0.4 = 36 40% of the total work completed by C in = 36/3 = 12 days |